From t = 0 to t = 3.51 min, a man stands still, and from t = 3.51 min to t = 7.02 min, he walks briskly in a straight line at a constant speed of 1.64 m/s. What are (a) his average velocity v_avg and (b) his average acceleration a_avg in the time interval 1.00 min to 4.51 min? What are (c) v_avg and (d) a_avg in the time interval 2.00 min to 5.51 min?

1. A 2.0 kg object is attached to a horizontal spring of force constant k = 4.3 kN/m. The spring is stretched 10 cm from equilibrium and released. Find its total energy.

..... J

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2. Find the total energy of a 2.0 kg object oscillating on a horizontal spring with an amplitude of 10 cm and a frequency of 2.9 Hz.
..... J

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3. Find the length of a simple pendulum if its frequency for small amplitudes is 1.00 Hz.
........ cm

The mercury manometer shown in the figure(Figure 1) is attached to a gas cell. The mercury height h is 120 mm when the cell is placed in an ice-water mixture. The mercury height drops to 30 mm when the device is carried into an industrial freezer.
Hint: The right tube of the manometer is much narrower than the left tube. What reasonable assumption can you make about the gas volume

What is the freezer temperature

A long pipe of outer radius 3.50 cm and inner radius 2.98 cm carries a uniform charge density of 5.22 mC/m3. Using Gauss\'s law and assuming the pipe is sufficiently long to consider it infinitely long, calculate the electric field r = 7.35 cm from the centerline of the pipe.

What is Fermi surface and why is this concept so useful in metals research?

Particularly, I can somewhat appreciate the Fermi energy idea - the radius of Fermi surface which is a sphere. But is there any quantitative use of more complicated Fermi surfaces?

Let suppose you roll a die, and it falls into a hidden place, for example under furniture.
Then although the experiment has already been made (the die already has a number to show), that value can not be known, so the experiment was not fully realized.
Then till you see the die's top side, the probability remain p = 1/6.
I see no difference between this and the wave function collapse, at least as an analogy.
Can someone explain a deeper difference?

Why do we get information about position and momentum when we go to different representations. Why is momentum, which was related to time derivative of position in classical physics, now in QM just a different representation brought about by some unitary transformation. Is Ehrenfest's theorem the only link?

I just started studying QM. So please suggest some references explaining the structural aspects and different connections.I don't want to start with noncommutative geometry. I would like something of an introductory nature and motivating.

The figure shows the equipotential contours in the plane of two point charges. The labels on the contours are in V. Determine for each of the following statement whether it is true or false

imgur.com/WLZRngB

The two charges are in the ratio 2:3.

There is a point along the line y=0 and between x= -10 and +10 where the potential is zero.

The electrostatic potential energy of a negative charge increases as it is brought from a to b.

There is a point along the line y=0 and between x =-10 and +10 where the field is zero.

Work is done on the field in moving a charge from c to d.

The above charge configuration can be described as an electric dipole.

a ping pong ball weighing 2 oz. with a contant velocity of V=8j+6k ft/sec. A gust of wind exerts a force of F=.5t i oz. on the ball. Determine the magnitude and direction of th ball after .5 sec

It is well known that the Lagrangian of a classical free particle equal to kinetic energy. This statement can be derived from some basic assumptions about the symmetries of the space-time. Is there any similar reasoning (eg. symmetry based or geometrical) why the Lagrangian of a classical system is equal kinetic energy minus the potential energy? Or it is just because we can compare the Newton's equations with the Euler-Lagrange equation and realize how they can match?

What are the reciprocal and direct lattice structures of a (100) plane of a FCC structure? What are the lattice constants of these direct and reciprocal lattices, provided that the standard lattice constant of the original FCC lattice is a?

A positive point charge Q1 = 1.6 ? 10-5 C is fixed at the origin of coordinates, and a negative charge Q2 = -5.5 ? 10-6 C is fixed to the x axis at x = +2.0 m. Find the location of the place(s) along the x axis where the electric field due to these two charges is zero. (Enter the locations in order from -x to +x. If there is only 1 location, enter 0 in the second box.)

A convex mirror has a focal length of ?35 cm. Where is the image if the image is upright and three-fourths the size of the object?

Consider a long cylindrical charge distribution of radius R = 15 cm with a uniform charge density of ? = 14 C/m3. Find the electric field at a distance r = 31 cm from the axis.

Consider the Oort clound to consist of a large number of comets at a distance from the Sun where the period of a circular orbit around the Sun would be a million years.

A. What is the radius of this orbit?

B. If a comet in this orbit is perturbed, so that its new orbit has an aphelion at its original orbital radius, but now a perihelion at 0.3AU, how long will it take to reach its perihelion?